Find the average value of y equals the square root of the quantity 64 minus x squared, on its domain.
1 answer:
Answer:
2π ≈ 6.283
Step-by-step explanation:
The average value of the function is the area under it, divided by the base. This function describes a semicircle of radius 8, so its area is ...
A = 1/2πr² = 1/2π·8² = 32π
The width of the base is the diameter of the semicircle, so is 16. Then the average value is ...
32π/16 = 2π . . . . . average value of y
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Answer:
The value of "x" is 5.
Step-by-step explanation:
In order to solve this system of equations, we first have to take the first equation and use it to represent "y" in terms of "x". We do that in the following way...
Now, we need to take the second equation and substitute "y" for the equivalent value in terms of "x". After doing this we will get the following equation, which we can solve to get the value of "x".
Therefore, the value of "x" is 5.